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Theorems · Theorem · combinatorics

SimpleGraph.comap_symm

∀ {V : Type u_1} {W : Type u_2} (G : SimpleGraph V) (e : V ≃ W),
  SimpleGraph.comap (⇑e.symm.toEmbedding) G = SimpleGraph.map (⇑e.toEmbedding) G
Defined in
Mathlib.Combinatorics.SimpleGraph.Maps
Cited by
2 results in Mathlib
Foundations
Depth 20 from the axioms · uses propext, Classical.choice, Quot.sound
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Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

SimpleGraph.map_symm · cited by 1SimpleGraph.map_symmSimpleGraph.locallyLinear_comap · cited by 0SimpleGraph.locallyLinear…DFunLike.coe · cited by 62936DFunLike.coeEquiv · cited by 8337EquivEquiv.symm · cited by 3681Equiv.symmSimpleGraph · cited by 3072SimpleGraphSimpleGraph.Adj · cited by 1346SimpleGraph.AdjFunction.Embedding · cited by 988Function.EmbeddingEquiv.toEmbedding · cited by 254Equiv.toEmbeddingSimpleGraph.ext · cited by 59SimpleGraph.extSimpleGraph.map · cited by 49SimpleGraph.mapSimpleGraph.comap · cited by 29SimpleGraph.comapSimpleGraph.comap_symmCITED BYCITES

Cites10

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Cited by2

Results whose statement or proof uses this declaration.